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Finding the Third Proportional to 25,565,569 and 39,667,256

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Solution

The third proportional to 25,565,569 and 39,667,256 is: 61,547,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565,569 : 39,667,256 = 39,667,256 : x
  2. Step 2: Convert to fraction form
    25,565,569/39,667,256 = 39,667,256/x
  3. Step 3: Cross multiply
    25,565,569x = 39,667,256 × 39,667,256
  4. Step 4: Simplify right side
    25,565,569x = 1,573,491,198,569,536
  5. Step 5: Solve for x
    x = 1,573,491,198,569,536/25,565,569
  6. Step 6: Final answer
    x = 61,547,278.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.